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Use sohcahtoa. tan64= x/7 x= 14.4
Answer:
Shane started the problem correctly
Step-by-step explanation:
We are given problem (-5) - (-1 3/4).
Mariah started the problem as (-5) + 1 - 3/4
Shane started the problem as (-5) + 1 + 3/4
We need to find who started the problem correctly.
The problem should be started by converting the mixed fraction into improper fraction i,e

Now we will solve bracket by multiplying -1 with term inside the bracket i.e


Let's compare both the procedures now:
Mariah:



Therefore, Mariah did not start the problem correctly.
Shane:



Therefore, Shane started the problem correctly.
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 


= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
Let [a, b] = the interval
The average rate of change can be found by using [f(b) - f(a)]/(b - a).
Let a = 1 and b = 5.
Let R = rate of change
17- x^2
R = [17 - 5^2] - [17 - 1^2]/(5 - 1)
R = [17 - 25] -[17 - 1]/4
R = [(-8) - (16)]/4
R = (-24)/4
R = -6
Done.